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**Unformatted text preview: **5. The diagram shows a quadrilateral ABCD. a.Find the perimeter of the quadrilateral. b.Find the area of the quadrilateral. 6. ABCDE is a square-based pyramid. The vertex E is situated directly above the centre of the lace ABCD. AB = 16 cm and AE = 20 cm.a. Calculate the angle between the line [AE] and the plane face ABCD. b.Calculate the angle between the plane face BCE and the face ABCD. c.Calculate the angle between the line [AE] and the line [EC]. d.Find the volume of the pyramid. e.Find the total surface area of the pyramid. 7.An ice cream cone consists of a circular cone and a hemisphere of ice cream, joined at their circular face. The hemisphere has radius 4 cm and the cone's perpendicular height is 9 cm.a. Find the total volume of ice cream and cone, giving your answer in terms of n b. Find the total surface area, giving your answer to 3 sf. (5 marks)...

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